Analysis of functionally graded beam using a new first-order shear deformation theory

- Journal title : Structural Engineering and Mechanics
- Volume 57, Issue 2, 2016, pp.315-325
- Publisher : Techno-Press
- DOI : 10.12989/sem.2016.57.2.315

Title & Authors

Analysis of functionally graded beam using a new first-order shear deformation theory

Hadji, Lazreg; Daouadji, T. Hassaine; Meziane, M. Ait Amar; Tlidji, Y.; Bedia, E.A. Adda;

Hadji, Lazreg; Daouadji, T. Hassaine; Meziane, M. Ait Amar; Tlidji, Y.; Bedia, E.A. Adda;

Abstract

A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory. The governing equations and boundary conditions of functionally graded beams have the simple forms as those of isotropic plates. The influences of the volume fraction index and thickness-to-length ratio on the fundamental frequencies are discussed. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

Keywords

functionally graded beam;first shear deformation theory;Hamilton`s principle;vibration;

Language

English

Cited by

1.

Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation,;;;;

2.

Effect of porosity on vibrational characteristics of non-homogeneous plates using hyperbolic shear deformation theory,;;;;

3.

Thermal stability of functionally graded sandwich plates using a simple shear deformation theory,;;;;

4.

A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations,;;;

5.

Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory,;;;

6.

Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory,;;;

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